Find the unit rate. Round to the nearest hundredth, if necessary.
$340 for 14 ft
The unit rate is $

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Let the box length l and the square base side be x, then

[tex]\to l+4x= 96 \\\\\to l=96-4x[/tex]

Calculating the volume of the box is:

[tex]\to V (x) = x^2 \\\\ \to l = x^2(96-4x)[/tex]

To find the critical value in this way, distinguish V with x and equal to zero

[tex]\to V'(x)=0 \\\\\to 4 \frac{d}{dx}(24x^2 - x^3)=0\\\\\to 4 (48x- 3x^2)=0\\\\\to 12x(16-x) = 0\\\\\to x= 12... [x \neq 0][/tex] (because the box will not exists)

Find the second derivative for maximum / minimum control as:

[tex]\to V''(x)= 12 \frac{d}{dx} (16x-x^2) \\\\\to 12 (16 -2x) < 0 \ for \ x = 16 \to \ Maxima \\\\\therefore[/tex]

[tex]Length = 32 \\\\Base = 16 in \times 16 in \\\\Volume= 8,192 \ in^3[/tex]

Answer:

3x - 5 + 2x² + 9x = 3x + 2x² + 9x - 5​ = TRUE = 2 x^2 + 12 x - 5

Step-by-step explanation:

left: Simplify the following:

2 x^2 + 9 x + 3 x - 5

Grouping like terms, 2 x^2 + 9 x + 3 x - 5 = 2 x^2 + (3 x + 9 x) - 5:

2 x^2 + (3 x + 9 x) - 5

3 x + 9 x = 12 x:

Answer: 2 x^2 + 12 x - 5

_______________________

Simplify the following:

2 x^2 + 9 x + 3 x - 5

Grouping like terms, 2 x^2 + 9 x + 3 x - 5 = 2 x^2 + (3 x + 9 x) - 5:

2 x^2 + (3 x + 9 x) - 5

3 x + 9 x = 12 x:

Answer: 2 x^2 + 12 x - 5

Answer:

a)S(6)+2300

b)S(n+3)

c)2(S(5))

d)S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

Step-by-step explanation:

Let S(x) represents a faculty member's yearly salary x years after beginning a position at a university.

a)Use function notation to represent $2300 more than a faculty member's salary after 6 years on the job

$2300 more than a faculty member's salary after 6 years on the job : S(6)+2300

b)Use function notation to represent the salary of a faculty member after 3 years more than n years on the job.

The salary of a faculty member after 3 years more than n years on the job : S(n+3)

c)Use function notation to represent a salary that is 2 times as large as the salary of a faculty member after 5 years on the job.

A salary that is 2 times as large as the salary of a faculty member after 5 years on the job :

2(S(5))

d)How many times as large is the salary of a faculty member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years?

S(14)=S(3.1)

S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

The function notations for the given question are:

a. [tex]\rm S(x)=S(6)[/tex]

b. [tex]\rm S(x) = S(n+3)[/tex]

c. [tex]\rm S(x) = 2[S(5)][/tex]

d. [tex]\rm S(x) = S(14) - S(3.1)[/tex]

Function notations can be defined as a method of writing functions that are precise and easy to understand. Function notations is a way to convert lengthy texts into functions. The most commonly used functional notation is f(x).

For the given question, let S(x) be the salary of a faculty member after x years.

a.The functional notation to represent a faculty member's salary after 6 years is:

[tex]\rm S(x)=S(6)[/tex] , where 6 is the number of years and S is the salary per year.

b. The functional notation to represent salary of a faculty member after 3 years more than n years on the job is:

[tex]\rm S(x) = S(n+3)[/tex] , where n+3 represents number of years into the job.

c. The functional notation to represent  a salary that is 2 times as large as the salary of a faculty member after 5 years on the job is:

[tex]\rm S(x) = 2[S(5)][/tex] , where S(5) is the salary after 5 years into the job.

d. The difference between salary of a faculty member after 14 years and salary of another faculty member after 3.1 years can be represented as:

[tex]\rm S(x) = S(14) - S(3.1)[/tex], where S(14) is the salary after 14 years and S(3.1) is the salary after 3.1 years into the job.

Therefore the functional notations for the given question are:

a. [tex]\rm S(x)=S(6)[/tex]

b. [tex]\rm S(x) = S(n+3)[/tex]

c. [tex]\rm S(x) = 2[S(5)][/tex]

d. [tex]\rm S(x) = S(14) - S(3.1)[/tex]

Learn more about function notations here:

https://brainly.com/question/5025688

Answer:

125

Step-by-step explanation:

Answer:

h= 50 - th(35)/5

Step-by-step explanation:

Answer: 1.25

Find my question since I had this question and look at the answer ok

Step-by-step explanation:

I hope my answer helps you out have a great day

Answer:

t = 0.6435 in radians or 36.8699 in degrees

Step-by-step explanation:

Since cos(t) = 4/5, t = inverse cos(4/5) = 0.6435

The answer to this is 16

Answer:

tan b

Step-by-step explanation:

Answer:

ok give me brainliest and i'll help

Step-by-step explanation:

Answer:

what is it that u need help with?

Step-by-step explanation:

y = x+13

If x = 5

Then,

y = 5 + 13

y = 18

Hence,

The value of y is 18.

Answer:

y=18

Step-by-step explanation:

y=(5)+13

5+13=18

y=18

Answer:

You have to show the question

Step-by-step explanation:

Answer:

Divide by -5.

Answer:

=

1

3

3

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation:

38,956 rounded to the nearest 10,000 is 40,000

Answer: 39,000

Step-by-step explanation:

Answer:9 cents per ounce (0.0895)

Step-by-step explanation: I UNDERSTAND HOW FRUSTRATING IT IS TO PUT AN ANSWER AND NO ONE ANSWERS IT, I DO, SO ALL I ASK IS FOR YOU TO GIVE ME BRAINLIEST. THANK YOU.

Answer:

The answer is below

Step-by-step explanation:

Let us assume the relationship between the worker hours and the towers is a linear relationship. A linear relationship is in the form of y = mx + b, where m is the rate of change and b is the value of y when x = 0.

Let y represent the number of worker hours and x represent the number of additional towers. The rate per tower is 0.8 for additional towers. The relationship can be given as:

y = 5500 - 0.8x

a) The number of hours is reduced to 3,000 worker-hours. y = 3000

3000 = 5500 - 0.8x

0.8x = 2500

x = 3125 towers

b) For an additional 16th tower:

y = 5500 - 0.8(16)

y = 5487.2 hours

Answer:

The mean life is actually less than the 100 hours the company claims.

Step-by-step explanation:

In this case we need to test whether the mean life is actually less than the 100 hours the company claims.

The information provided is:

 [tex]n=20\\\bar x=98.5\\s=0.777[/tex]

The hypothesis for the test can be defined as follows:

H₀: The mean life 100 hours, i.e. μ = 100.

Hₐ: The mean life is actually less than the 100 hours, i.e. μ < 100.

Assume the significance level as 5%.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 [tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{98.5-100}{0.777}=-1.93[/tex]

Compute the p-value of the test as follows:

 [tex]p-value=P(t_{n-1}<-1.93)=P(t_{19}<-1.93)=0.034[/tex]

*Use a t-table.

Thus, the p-value of the test is 0.034.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.034 < α = 0.05

The null hypothesis will be rejected at 5% level of significance.

Thus, concluding that the mean life is actually less than the 100 hours the company claims.

Answer:

x = 5

Step-by-step explanation:

19 - 6x = -11

-6x= -11 -19

-6x = -30

x= 5

Answer:

x = 5

Step-by-step explanation:

19 - 6x = -11

-6x = -11 - 19

-6x = -30

-6x/-6 = -30/-6

x = 5

19 - 6*5 = -11

19 - 30 = -11

-11 = -11

Answer:        15/21 , 25/35 , 10/14 or 10/14, 15/21, 20/28

Step-by-step explanation:

Answer:

10/14, 15/21, 20/28

Step-by-step explanation:

Just multiply a number by the top and bottom to get a ratio that simplifies down to 5/7.

Answer: sorry read it wrong

Answer:

68 inches

Step-by-step explanation:

We know that a foot is 12 inches, so multiply 12 and 5 to get 60, and then add the 8 other inches.

I hope this helps, and if it does, may I have brainliest?

Answer:

x is equal to 6

Step-by-step explanation:

Hey there!

3(-x-3) + x-3= -24

Multiply"3" and (-x-3).

-3x - 9 + x - 3 = -24

Add or subtract like terms.

-2x - 12 = -24

Shift "-12" in right side.

-2x = -24+12

-2x = -12

Divide "-12" by "-2".

X = -12/-2

Therefore, x= 6.

Hope it helps...

Answer:

Hope this helps if so Please consider marking brainliest!

Step-by-step explanation:

Move all terms not containing C  to the right side of the equation.

c = p -9 + b

Answer:

c

Step-by-step explanation:

It’s the same thing even if you put ()

Answer:

9.9

Step-by-step explanation:

Optional (extra) info to understand length of other leg:

This triangle is an iscoceles, how can I (or we) tell?? Well, the angles of a triangle always add up to 180° and we know the angles of 2 corners, 90° and 45° so we can do this to find the last angle where "c" is the unknown corner:

180 - (90 + 45) = c

180 - 135 = c

45 = c

so "c" is also equal to 45° so we can decisively conclude that this figure is an iscoceles triangle.

How to find x:

Use the pythagorean theorem

c = √a² + b²

Then calculate using that equation

c = √7² + 7²

c = 9.9

In this case "c" is for the length of hypotenus but the image asks for x so

x = c

and

c = 9.9

so

x = 9.9

Hope this helps!

Have a nice evening!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

it x = 9.9

Step-by-step explanation:

Answer:

3 feet long about 1 1\2 inch wide though

Step-by-step explanation:

.

3 feet

36 inches

0.000568182 of a mile

Long